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liberstina [14]
3 years ago
15

Does the following equation represent growth or decay?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

Growth

Step-by-step explanation:

The number that is multiplying (1.01) is more than 0 so growth

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Find the surface area of the following figure with the given dimension
andrezito [222]

Answer:

The surface area is 54 square feet

Step-by-step explanation:

Given

The attached figure

Required

The surface area

This is calculated as:

SA = 2(LW + LH + HW)

Where

L = Length\\ W = Width\\ H = Height\\

So,

SA = 2  * (3 * 3 + 3 * 3 + 3 * 3)

SA = 54

6 0
3 years ago
Graph a line with a slope of 1/4 that contains the point (6, 3).
Semenov [28]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a line in point slope form is

y-y1=m(x-x1)

we have

(x_1,y_1)=(6,3)

m=\frac{1}{4}

substitute

y-3=\frac{1}{4}(x-6)

The easiest way to graph a line is to calculate the intercepts

The<u><em> x-intercept </em></u>is the value of x when the value of y is equal to zero

For y=0

0-3=\frac{1}{4}(x-6)

-12=(x-6)

x=-12+6=-6

The x-intercept is the point (-6,0)

The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero

For x=0

y-3=\frac{1}{4}(0-6)

y-3=-\frac{3}{2}

y=-\frac{3}{2}+3

y=1.5

The y-intercept is the point (0,1.5)

Plot the intercepts and join the points to graph the line

(-6,0) and (0,1.5)

The graph in the attached figure

8 0
3 years ago
What is the amplitude of the sinusoid's graph? y = -4 sin 3x
GrogVix [38]

Answer:

Amplitude = 4

Step-by-step explanation:

The general form of a sine curve would be  y=ASin(bx)  where A is the <u>"amplitude"</u>, or the "tallness" or "shortness" of the graph.

Technically, amplitude is the absolute value of the number that is multiplied in front of "Sin". So the amplitude is 4.

<u>Note:</u> The negative sign in front of 4 plays the role of "flipping" the curve upside down.

6 0
3 years ago
The perimeter of a rectangle is 20 inches.The length is 2 inches less than twice the width.
SSSSS [86.1K]

Answer:

width = 6

length = 4

Step-by-step explanation:

perimeter = 2L + 2W

L = W - 2

plug in perimeter:

20 = 2L + 2W

you know the length is 2 less than the width

plug in (w - 2) for L:

20 = 2(w - 2) + 2w

solve for w:

20 = 2w - 4 + 2w

20 = 4w - 4

4w = 24

w = 6

now plug in 6 for w in either equation, whichever is easier to solve:

L = 6 - 2

L = 4

width = 6

length = 4

6 0
3 years ago
Translate the following into algebraic expressions:
ZanzabumX [31]

Answer:

2c -2 = Steve's age 2 years ago

Step-by-step explanation:

3 0
3 years ago
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